GCD of 325, 900, 490, 895 Calculator

Given Input numbers are 325, 900, 490, 895

In the factoring method, we have to find the divisors of all numbers

Divisors of 325 :

The positive integer divisors of 325 that completely divides 325 are.

1, 5, 13, 25, 65, 325

Divisors of 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 490 :

The positive integer divisors of 490 that completely divides 490 are.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

Divisors of 895 :

The positive integer divisors of 895 that completely divides 895 are.

1, 5, 179, 895

GCD of numbers is the greatest common divisor

So, the GCD (325, 900, 490, 895) = 5.

Given numbers are 325, 900, 490, 895

The list of prime factors of all numbers are

Prime factors of 325 are 5 x 5 x 13

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

Prime factors of 490 are 2 x 5 x 7 x 7

Prime factors of 895 are 5 x 179

The highest common occurrence is 5¹

Therefore, GCD of 325, 900, 490, 895 is 5.

Given numbers are 325, 900, 490, 895

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(325, 900) = 11700

GCD(325, 900) = ( 325 x 900 ) / 11700

= 325 / 900

= 325

Step2:

LCM(25, 490) = 2450

GCD(25, 490) = ( 25 x 490 ) / 2450

= 25 / 490

= 25

Step3:

LCM(5, 895) = 895

GCD(5, 895) = ( 5 x 895 ) / 895

= 5 / 895

= 5

So, Greatest Common Divisor of 325, 900, 490, 895 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 896, 974, 434, 513
• GCD of 954, 148, 887, 808
• GCD of 765, 339, 419, 430
• GCD of 110, 545, 261, 595
• GCD of 149, 458, 876, 639

Given numbers are 325, 900, 490, 895
The greatest common divisor of numbers 325, 900, 490, 895 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 325, 900, 490, 895 is 5.

1. What is the GCD of 325, 900, 490, 895?

GCD of given numbers 325, 900, 490, 895 is 5

2. How to calculate the greatest common divisor of 325, 900, 490, 895?

We can find the highest common divisor of 325, 900, 490, 895 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 325, 900, 490, 895 i.e 5.

3. How can I use the GCD of 325, 900, 490, 895Calculator?

Out the numbers 325, 900, 490, 895 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.